A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis
A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis
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DOI：
10.1115/1.4033428
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发表时间：
2016-06
影响因子：
3.3
通讯作者：
Zhen Hu;S. Mahadevan
中科院分区：
文献类型：
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作者：
Zhen Hu;S. Mahadevan
目前时变可靠性分析的代理建模方法是一个双回路的过程，外回路计算极值响应，内回路进行优化。尽管已经进行了改进以提高内部循环的效率，但是双循环过程的计算工作量仍然相当高。提出了一种用于时变可靠性分析的单回路Kriging（SILK）代理建模方法。该方法完全消除了现有方法中的优化循环。建立了单代理模型，用于时变可靠性评估。随机变量和时间的训练点在同一水平上生成，而不是在两个单独的水平上生成。代理模型的改进自适应的学习函数的基础上修改的时间无关的可靠性分析和一个新开发的收敛准则。建立代理模型的策略进行了研究的问题，没有随机过程。三个算例的结果表明，所提出的单循环过程显着提高了效率的时间相关的可靠性分析，而不牺牲的精度。[DOI 10.1115/1.4033428]
Current surrogate modeling methods for time-dependent reliability analysis implement a double-loop procedure, with the computation of extreme value response in the outer loop and optimization in the inner loop. The computational effort of the double-loop procedure is quite high even though improvements have been made to improve the efficiency of the inner loop. This paper proposes a single-loop Kriging (SILK) surrogate modeling method for time-dependent reliability analysis. The optimization loop used in current methods is completely removed in the proposed method. A single surrogate model is built for the purpose of time-dependent reliability assessment. Training points of random variables and over time are generated at the same level instead of at two separate levels. The surrogate model is refined adaptively based on a learning function modified from timeindependent reliability analysis and a newly developed convergence criterion. Strategies for building the surrogate model are investigated for problems with and without stochastic processes. Results of three numerical examples show that the proposed single-loop procedure significantly increases the efficiency of time-dependent reliability analysis without sacrificing the accuracy. [DOI: 10.1115/1.4033428]